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Two Dimensional Vertically Averaged And Moment Equations For Shallow Free Surface Flows Microform
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Author :Haitham Kamal Ghamry Publisher :National Library of Canada = Bibliothèque nationale du Canada ISBN 13 :9780612395312 Total Pages :774 pages Book Rating :4.3/5 (953 download)
Book Synopsis Two-dimensional Vertically Averaged and Moment Equations for Shallow Free-surface Flows [microform] by : Haitham Kamal Ghamry
Download or read book Two-dimensional Vertically Averaged and Moment Equations for Shallow Free-surface Flows [microform] written by Haitham Kamal Ghamry and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 1999 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Two Dimensional Vertically Averaged and Moment Equations for Shallow Free Surface Flows by : Haitham Kamal Ghamry
Download or read book Two Dimensional Vertically Averaged and Moment Equations for Shallow Free Surface Flows written by Haitham Kamal Ghamry and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Shallow Water Wave Equations: Formulation, Analysis and Application by : Ingemar Kinnmark
Download or read book The Shallow Water Wave Equations: Formulation, Analysis and Application written by Ingemar Kinnmark and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1 AREAS OF APPLICATION FOR THE SHALLOW WATER EQUATIONS The shallow water equations describe conservation of mass and mo mentum in a fluid. They may be expressed in the primitive equation form Continuity Equation _ a, + V. (Hv) = 0 L(l;,v;h) at (1. 1) Non-Conservative Momentum Equations a M("vjt,f,g,h,A) = at(v) + (v. V)v + tv - fkxv + gV, - AIH = 0 (1. 2) 2 where is elevation above a datum (L) ~ h is bathymetry (L) H = h + C is total fluid depth (L) v is vertically averaged fluid velocity in eastward direction (x) and northward direction (y) (LIT) t is the non-linear friction coefficient (liT) f is the Coriolis parameter (liT) is acceleration due to gravity (L/T2) g A is atmospheric (wind) forcing in eastward direction (x) and northward direction (y) (L2/T2) v is the gradient operator (IlL) k is a unit vector in the vertical direction (1) x is positive eastward (L) is positive northward (L) Y t is time (T) These Non-Conservative Momentum Equations may be compared to the Conservative Momentum Equations (2. 4). The latter originate directly from a vertical integration of a momentum balance over a fluid ele ment. The former are obtained indirectly, through subtraction of the continuity equation from the latter. Equations (1. 1) and (1. 2) are valid under the following assumptions: 1. The fluid is well-mixed vertically with a hydrostatic pressure gradient. 2. The density of the fluid is constant.
Book Synopsis A General Two-dimensional Free-surface Flow Model for Solving the Depth-averaged Equations Using an Implicit ADI Scheme by : Thomas R. Molls
Download or read book A General Two-dimensional Free-surface Flow Model for Solving the Depth-averaged Equations Using an Implicit ADI Scheme written by Thomas R. Molls and published by . This book was released on 1992 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Methods for Calculating the Effect of Gravity on Two-dimensional Free Surface Flows by : Byrne Perry
Download or read book Methods for Calculating the Effect of Gravity on Two-dimensional Free Surface Flows written by Byrne Perry and published by . This book was released on 1957 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Two Dimensional Free-surface Flows Due to a Point Singularity by : Hocine Mekias
Download or read book Two Dimensional Free-surface Flows Due to a Point Singularity written by Hocine Mekias and published by . This book was released on 1991 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic & Numerical Analysis of Free Surface Flows by : Kurt M. Berger
Download or read book Asymptotic & Numerical Analysis of Free Surface Flows written by Kurt M. Berger and published by . This book was released on 2000 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical solution of two-dimensional transient free-surface flows by : Robert J. Fennema
Download or read book Numerical solution of two-dimensional transient free-surface flows written by Robert J. Fennema and published by . This book was released on 1985 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Depth-averaged Equations for Turbulent Free-surface Flow by : D. A. Paterson
Download or read book Depth-averaged Equations for Turbulent Free-surface Flow written by D. A. Paterson and published by . This book was released on 1988 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Towards Efficient Techniques for Solutions of the Shallow Water Equations by : Owen Thomas DeGennaro-Ransom
Download or read book Towards Efficient Techniques for Solutions of the Shallow Water Equations written by Owen Thomas DeGennaro-Ransom and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Research was conducted in order to develop more efficient solution techniques for the Shallow Water Equations (SWE) for naturally occurring free-surface flows in natural and engineered channels. Methods relating to numerical solution of the two-dimensional equations utilizing graphical processing units (GPU) as the main computational device and combined one-and two-dimensional schemes are presented and tested. Different numerical methods were investigated for inclusion to the model. General requirements for the proposed schemes included the ability to be solved using a finite-difference conservative solution algorithm on a fixed rectangular grid and the ability to both withstand and provide reasonable approximation of shocks and bores within the solution domain. Two such schemes were investigated that met initial criteria: A graphical processing unit (GPU) implementation of the well established MacCormack method, and a selectively under-relaxed implicit method. Both methods included the addition of a TVD (total variation diminishing) term to help maintain stability around high gradient flow areas.The implicit method incorporates an algorithm for selectively under-relaxing the iterative process to maintain stability in the presence of shock interfaces. The value of the Courant number and the frequency at which the TVD term was incorporated were constantly updated during the computation to achieve optimal speed of execution while maintaining stability. The method was tested against published results from experiments and from computations employing alternative algorithms and the results obtained demonstrate both the economy and accuracy of the proposed algorithm. The MacCormack-based scheme was chosen for both optimizing procedure attempts. Methodology was tested that allowed for one and two-dimensional TVD-MacCormack equation coupling, reducing grid-size dependency for the solution domain, while permitting simultaneous calculation of both one and two dimensional domains, and the explicit, finite-difference formulation of the solution methodology was well suited for inclusion into simultaneous GPU calculation. Cell alignment and cell-neighbor management is shifted from matrix to array form, which allows for a new framework, optimally constructed for inclusion of the dimensionally coupled solution scheme. The code contains adaptive time-stepping, based on maximum local Courant number, and special wetting/drying schemes to maximize stability while maintaining accuracy. The method was tested against published results, showing it's effectiveness in minimizing computational resources while comparing well with experimentally derived results. The coupled code is tempered for insertion into a parallel computing array. Ultimately, while dimensional coupling provided a slight optimization in terms of computational efficiency, the dimensional interface methodology and limited domain types the solution technique was constructed for restrict it to a specific-use tool. The extension of the MacCormack method to GPU processing ultimately proved more useful, showing speed increases of 4-40 times depending on the domains geomorphological characteristics.
Book Synopsis Geomorphological Fluid Mechanics by : N.J. Balmforth
Download or read book Geomorphological Fluid Mechanics written by N.J. Balmforth and published by Springer. This book was released on 2008-01-11 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geomorphology deals with some of the most striking patterns of nature. From mountain ranges and mid-ocean ridges to river networks and sand dunes, there is a whole family of forms, structures, and shapes that demand rationalization as well as mathematical description. In the various chapters of this volume, many of these patterns are explored and discussed, and attempts are made to both unravel the reasons for their very existence and to describe their dynamics in quantitative terms. Particular focus is placed on lava and mud flows, ice and snow dynamics, river and coastal morphodynamics and landscape formation. Combining a pedagogical approach with up-to-date reviews of forefront research, this volume will serve both postgraduate students and lecturers in search of advanced textbook material, and experienced researchers wishing to get acquainted with the various physical and mathematical approaches in a range of closely related research fields.
Book Synopsis Sound-Flow Interactions by : Y. Auregan
Download or read book Sound-Flow Interactions written by Y. Auregan and published by Springer. This book was released on 2007-06-18 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coupling between acoustic waves and fluid flow motion is basically nonlinear, with the result that flow and sound modify themselves reciprocally with respect to generation and propagation properties. As a result this problem is investigated by many different communities, such as applied mathematics, acoustics and fluid mechanics. This book is the result of an international school which was held to discuss the foundation of sound--flow interactions, to share expertise and methodologies, and to promote cross-fertilization between the different disciplines involved. It consists essentially of a set of pedagogical lectures and is meant to serve not only as a compact source of reference for the experienced researcher but also as an advanced textbook for postgraduate students, and nonspecialists wishing to familiarize themselves in depth, at a research level, with this fascinating subject.
Book Synopsis Fronts, Waves and Vortices in Geophysical Flows by : Jan-Bert Flor
Download or read book Fronts, Waves and Vortices in Geophysical Flows written by Jan-Bert Flor and published by Springer. This book was released on 2010-06-01 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most well known structures in planetary atmospheres and the Earth’s oceans are jets or fronts interacting with vortices on a wide range of scales. The transition from one state to another, such as in unbalanced or adjustment flows, involves the generation of waves as well as the interaction of coherent structures with these waves. This book presents a fluid mechanics perspective to the dynamics of fronts and vortices and their interaction with waves in geophysical flows. It provides a basic physical background for modeling coherent structures in a geophysical context, and it gives essential information on advanced topics such as spontaneous wave emission and wavemomentum transfer in geophysical flows. Based on a set of lectures by leading specialists, this text is targeted at graduate students, researchers and engineers in geophysics and environmental fluid mechanics.
Book Synopsis Lattice Boltzmann Modeling by : Michael C. Sukop
Download or read book Lattice Boltzmann Modeling written by Michael C. Sukop and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a basic introduction to Lattice Boltzmann models that emphasizes intuition and simplistic conceptualization of processes, while avoiding the complex mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those whose interest is in model application over detailed mathematics will find this a powerful 'quick start' guide. Example simulations, exercises, and computer codes are included.
Download or read book Physics Briefs written by and published by . This book was released on 1991 with total page 1132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Channel Flow Resistance by : Ben Chie Yen
Download or read book Channel Flow Resistance written by Ben Chie Yen and published by Water Resources Publication. This book was released on 1992 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Physics of Surfaces and Interfaces by : Harald Ibach
Download or read book Physics of Surfaces and Interfaces written by Harald Ibach and published by Springer Science & Business Media. This book was released on 2006-11-18 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook covers the major developments in surface sciences of recent decades, from experimental tricks and basic techniques to the latest experimental methods and theoretical understanding. It is unique in its attempt to treat the physics of surfaces, thin films and interfaces, surface chemistry, thermodynamics, statistical physics and the physics of the solid/electrolyte interface in an integral manner, rather than in separate compartments. It is designed as a handbook for the researcher as well as a study-text for graduate students. Written explanations are supported by 350 graphs and illustrations.
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